1640753159640 has 768 divisors, whose sum is σ = 6076045872000. Its totient is φ = 352885800960.

The previous prime is 1640753159603. The next prime is 1640753159657. The reversal of 1640753159640 is 469513570461.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1107867700 + ... + 1107869180.

Almost surely, 2^{1640753159640} is an apocalyptic number.

1640753159640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1640753159640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3038022936000).

1640753159640 is an abundant number, since it is smaller than the sum of its proper divisors (4435292712360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1640753159640 is a wasteful number, since it uses less digits than its factorization.

1640753159640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1700 (or 1689 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 51.

The spelling of 1640753159640 in words is "one trillion, six hundred forty billion, seven hundred fifty-three million, one hundred fifty-nine thousand, six hundred forty".